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Finding the Fourth Proportional to 10,217.61, 14,101.83 and 6,241.02

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Solution

The fourth proportional to 10,217.61, 14,101.83 and 6,241.02 is: 8,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.61 : 14,101.83 = 6,241.02 : x
  2. Step 2: Convert to fraction form
    10,217.61/14,101.83 = 6,241.02/x
  3. Step 3: Cross multiply
    10,217.61x = 14,101.83 × 6,241.02
  4. Step 4: Simplify right side
    10,217.61x = 88,009,803.07
  5. Step 5: Solve for x
    x = 88,009,803.07/10,217.61
  6. Step 6: Final answer
    x = 8,613.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.